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SUMMARY:Non-existence of time-periodic vacuum spacetimes in general relati
 vity - Volker Schlue (University Pierre et Marie Curie)
DTSTART:20151102T150000Z
DTEND:20151102T160000Z
UID:TALK62235@talks.cam.ac.uk
CONTACT:Harsha Hutridurga
DESCRIPTION:In general relativity\, it is expected that a gravitating\nsys
 tem cannot display time-periodic dynamics. This is in contrast to\nNewton'
 s theory of gravity\, which allows for periodic motion\, and\ncorrespondin
 g gravitational fields. I will explain how the development\nof certain uni
 queness theorems for linear waves\, obtained jointly with\nSpyros Alexakis
  and Arick Shao\, has led to a proof that any\nasymptotically flat time-pe
 riodic solution to the Einstein equations\nmust be time-independent\, at l
 east far away from the sources. Thus\ngenuinely time-periodic vacuum space
 times do not exist. I will relate\nthe discussion to the so-called final s
 tate conjecture\, and the soliton\nresolution conjecture for dispersive p.
 d.e.'s.
LOCATION:CMS\, MR13
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